The function, , is defined by . Which of the following statements is true about the values of ? Select all that apply. 

The two lines on the coordinate plane are graphs of functions and .

1. Use the graph to explain why the value of increases by 2 each time the input increases by 1. 
2. Use the graph to explain why the value of increases by 2 each time the input increases by 1.

Graph of 2 lines, origin O. Horizontal axis 0 to 10, by 2’s, labeled x. Vertical from 0 to 20, by 4’s, labeled y. The line representing function f passes through 0 comma 0, 2 comma 4, 4 comma 8, 6 comma 12, 8 comma 16, 10 comma 20. The line representing function g passes through 0 comma 5, 2 comma 7, 4 comma 13, 6 comma  17, 8 comma 21.

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The function, , is given by .

1. Find the quotient .
2. What does this tell you about how the value of changes when the input is increased by 2?
3. Find the quotient .
4. What does this tell you about how the value of changes when the input is increased by 3?

For each of the functions,  and , the domain is . For which functions is the average rate of change a good measure of how the function changes for this domain? Select all that apply. 

The average price of a gallon of regular gasoline in 2016 was $2.14. In 2017, the average price was $2.42 a gallon—an increase of 13%.

At that rate, what will the average price of gasoline be in 2020?

A credit card charges a 14% annual nominal interest rate and has a balance of $500.

If no payments are made and interest is compounded quarterly, which expression could be used to calculate the account balance, in dollars, in 3 years?

Here are equations that define four linear functions. For each function, write a verbal description of what is done to the input to get the output, and then write the inverse function.